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Finding the Fourth Proportional to 3,169.61, 4,751.17 and 1,606.72

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Solution

The fourth proportional to 3,169.61, 4,751.17 and 1,606.72 is: 2,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.61 : 4,751.17 = 1,606.72 : x
  2. Step 2: Convert to fraction form
    3,169.61/4,751.17 = 1,606.72/x
  3. Step 3: Cross multiply
    3,169.61x = 4,751.17 × 1,606.72
  4. Step 4: Simplify right side
    3,169.61x = 7,633,799.86
  5. Step 5: Solve for x
    x = 7,633,799.86/3,169.61
  6. Step 6: Final answer
    x = 2,408.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.